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Finding the Fourth Proportional to 256,492.60, 384,278.10 and 219,628.60

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Solution

The fourth proportional to 256,492.60, 384,278.10 and 219,628.60 is: 329,048.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,492.60 : 384,278.10 = 219,628.60 : x
  2. Step 2: Convert to fraction form
    256,492.60/384,278.10 = 219,628.60/x
  3. Step 3: Cross multiply
    256,492.60x = 384,278.10 × 219,628.60
  4. Step 4: Simplify right side
    256,492.60x = 84,398,461,113.66
  5. Step 5: Solve for x
    x = 84,398,461,113.66/256,492.60
  6. Step 6: Final answer
    x = 329,048.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.